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Finding the Third Proportional to 6,095.60 and 13,307.48

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Solution

The third proportional to 6,095.60 and 13,307.48 is: 29,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.60 : 13,307.48 = 13,307.48 : x
  2. Step 2: Convert to fraction form
    6,095.60/13,307.48 = 13,307.48/x
  3. Step 3: Cross multiply
    6,095.60x = 13,307.48 × 13,307.48
  4. Step 4: Simplify right side
    6,095.60x = 177,089,140.39
  5. Step 5: Solve for x
    x = 177,089,140.39/6,095.60
  6. Step 6: Final answer
    x = 29,051.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.